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Finding the Third Proportional to 901,204,509,780 and 1,909,853,635,176

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Solution

The third proportional to 901,204,509,780 and 1,909,853,635,176 is: 4,047,406,407,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,204,509,780 : 1,909,853,635,176 = 1,909,853,635,176 : x
  2. Step 2: Convert to fraction form
    901,204,509,780/1,909,853,635,176 = 1,909,853,635,176/x
  3. Step 3: Cross multiply
    901,204,509,780x = 1,909,853,635,176 × 1,909,853,635,176
  4. Step 4: Simplify right side
    901,204,509,780x = 3,647,540,907,794,981,609,013,248
  5. Step 5: Solve for x
    x = 3,647,540,907,794,981,609,013,248/901,204,509,780
  6. Step 6: Final answer
    x = 4,047,406,407,992.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.